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Prove that sin10^(@) sin 30^(@) sin 50^...

Prove that `sin10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=1/16`

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LHS `=sin10^(@)sin30^(@)sin50^(@)sin70^(@)`
`=1/2sin10^(@)[2sin70^(@)sin50^(@)]`
`=1/4 sin10^(@)[cos20^(@)-cos(90^(@)+30^(@))]`
`=1/4[cos20^(@)sin10^(@)+sin30^(@)sin10^(@)]`
`=1/8[sin(20^(@)+10^(@))-sin(20^(@)-10^(@))+sin10^(@)]`
`=1/8 xx 1/2=1/16` = RHS Hence Proved.
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